A short proof for Auslander's defect formula.
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Publication:1874306
DOI10.1016/S0024-3795(02)00481-0zbMath1035.18007MaRDI QIDQ1874306
Publication date: 25 May 2003
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Module categories in associative algebras (16D90) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) General module theory in associative algebras (16D10)
Related Items (19)
The defect functor of a homomorphism and direct unions ⋮ On higher-dimensional Auslander–Reiten theory for comodule categories ⋮ Almost split sequences and approximations ⋮ The generalized auslander–reiten duality on a module category ⋮ Tilting modules over an algebra by Igusa, Smalø and Todorov. ⋮ Cosilting modules ⋮ TTF triples in functor categories. ⋮ Auslander's defect formula and a commutative triangle in an exact category ⋮ Recollements for dualizing \(k\)-varieties and Auslander's formulas ⋮ Representations and cohomology of a family of finite supergroup schemes ⋮ Higher Auslander's defect and classifying substructures of \(n\)-exangulated categories ⋮ Projective dimensions and almost split sequences. ⋮ Duality and contravariant functors in the representation theory of artin algebras ⋮ The Auslander bijections: how morphisms are determined by modules ⋮ Auslander-Reiten duality for Grothendieck abelian categories ⋮ Auslander-Reiten components over pure-semisimple hereditary rings. ⋮ Local duality for representations of finite group schemes ⋮ Exact Krull-Schmidt categories with finitely many indecomposables ⋮ Colocalising subcategories of modules over finite group schemes
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